705972 has 12 divisors (see below), whose sum is σ = 1647296. Its totient is φ = 235320.

The previous prime is 705967. The next prime is 705973. The reversal of 705972 is 279507.

It is a happy number.

705972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705973) by changing a digit.

705972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29404 + ... + 29427.

2⁷⁰⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

705972 is an abundant number, since it is smaller than the sum of its proper divisors (941324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

705972 is a wasteful number, since it uses less digits than its factorization.

705972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58838 (or 58836 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 705972 is about 840.2213993942. The cubic root of 705972 is about 89.0421884737.

The spelling of 705972 in words is "seven hundred five thousand, nine hundred seventy-two".